3(-4y)=6-4y
-12y=6-4y
-8y=6
y=-3/4
So the two expressions are equivalent, if and only if y = -3/4.
You Should click :
B) The row categories are "Wears Glasses" and "Do Not Wear Glasses"
C) Two teachers do not wear glasses
E) Total of 6 teachers were polled
<u>Explanation:</u>
- In a class there are 129 students, among that 32 wear glasses, 97 don't wear glasses.
- There are 6 teachers in those 4 wear glasses and 2 do not wear glasses.
- Totally 135 present. In those 36 wear and 99 don't wear glasses.
Answer: 45 items
Step-by-step explanation:
2 key chains in 5 bags so 2+2+2+2+2=10
Then it says 7 treats in each 5 bags so
7+7+7+7+7=35
So 10+35=45 so she had 45 items
And put 9 items in each bag
Answer:
21.74 But if it tells you to round I would round to 21 lbs
Step-by-step explanation:
its basically just a ratio of 92 to 20
92/20=4.6
92-20=72% the amount that is lost
so given that the plum is 100 lbs we know that 72% is depleted
(72/92 = .78)X100= 78 lbs depleted
Lastly 100-78 =22 for the remaining weight of the prunes.
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6